4 papers
Tree-Preconditioned Differentiable Optimization and Axioms as Layers
Yuexin Liao
This paper introduces a differentiable framework that embeds the axiomatic structure of Random Utility Models (RUM) directly into deep neural networks. Although projecting empirica…
Efficient Cell Painting Image Representation Learning via Cross-Well Aligned Masked Siamese Network
Pin-Jui Huang, Yu-Hsuan Liao, SooHeon Kim +3
Computational models that predict cellular phenotypic responses to chemical and genetic perturbations can accelerate drug discovery by prioritizing therapeutic hypotheses and reduc…
Typical Uniqueness in Ergodic Optimization
Oliver Jenkinson, Xiaoran Li, Yuexin Liao +1
For ergodic optimization on any topological dynamical system, with real-valued potential function belonging to any separable Banach space of continuous functions, we show t…
Ergodic Optimization for Open Expanding Multi-valued Topological Dynamical Systems
Oliver Jenkinson, Xiaoran Li, Yuexin Liao +1
We study the optimization of ergodic averages for multi-valued dynamical systems, i.e. where points may have multiple different forward orbits. Under upper semi-continuity assumpti…